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Journal of Multivariate Analysis, ISSN 0047-259X, 07/2018, Volume 166, pp. 98 - 110
We introduce a broad and flexible class of multivariate distributions obtained by both scale and shape mixtures of multivariate skew-normal distributions. We... 
Skew-normal distribution | Shape mixtures of skew-normal distributions | Scale mixtures of skew-normal distributions | Skew scale mixtures of normal distributions | EM-algorithm | Scale mixtures of normal distributions | GENERAL-CLASS | ELLIPTIC DISTRIBUTIONS | STATISTICS & PROBABILITY | INFERENCE
Journal Article
Statistics and Probability Letters, ISSN 0167-7152, 09/2015, Volume 104, pp. 75 - 81
We propose a new generalization of the skew-normal distribution (Azzalini, 1985) referred to as the Kumaraswamy skew-normal. The new distribution is... 
Skew-normal distribution | Beta skew-normal distribution | Kumaraswamy distribution | Kumaraswamy skew-normal distribution | DENSITY | STATISTICS & PROBABILITY
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 06/2017, Volume 46, Issue 11, pp. 5612 - 5632
In this work, first some distributional properties of extended two-piece skew normal distributions are presented. Next we revisit the special case, that is... 
two-piece skew normal | skew-normal | skew-Cauchy | 62E20 | Half-normal | uni/bimodal distribution | 62E15 | 60E05 | SKEW-NORMAL-DISTRIBUTION | uni | MODELS | FAMILIES | CAUCHY DISTRIBUTION | STATISTICS & PROBABILITY | bimodal distribution | HALF-NORMAL DISTRIBUTION | Random variables | Skew distributions | Statistical methods | Normal distribution | Statistics
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 06/2013, Volume 42, Issue 12, pp. 2229 - 2244
We consider a new generalization of the skew-normal distribution introduced by Azzalini ( 1985 ). We denote this distribution Beta skew-normal (BSN) since it... 
Balakrishnan skew-normal | Skew-normal distribution | Beta skew-normal | Order statistics | DENSITY | STATISTICS & PROBABILITY | 62E15 | 60E05 | Studies | Normal distribution | Statistics | Beta
Journal Article
Statistics, ISSN 0233-1888, 07/2015, Volume 49, Issue 4, pp. 842 - 858
We consider a distribution obtained by combining two well-known mechanisms for generating skewed distributions. In this manner we arrive at a flexible model... 
skew-normal distribution | doubly skewed | epsilon-skew-normal | two-piece skew-normal | MODELS | STATISTICS & PROBABILITY | EXTENSION | INFERENCE
Journal Article
Journal of the Royal Statistical Society. Series B (Statistical Methodology), ISSN 1369-7412, 1/1999, Volume 61, Issue 3, pp. 579 - 602
Journal Article
Environmetrics, ISSN 1180-4009, 11/2008, Volume 19, Issue 7, pp. 661 - 671
Journal Article
Journal of Statistical Software, ISSN 1548-7660, 10/2018, Volume 87, Issue 6, pp. 1 - 24
We develop a SAS macro and equivalent Stata programs that provide marginalized inference for semi-continuous data using a maximum likelihood approach. These... 
Semi-continuous | Log skew normal | Generalized gamma | Complex survey design | Marginalized two-part models | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | generalized gamma | STATISTICS & PROBABILITY | semi-continuous | MODEL | complex survey design | marginalized two-part models | log skew normal
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 02/2014, Volume 395, pp. 200 - 208
An asymptotic expression for the Kullback–Leibler (KL) divergence measure of multivariate skew-t distributions (MST) is derived. This novel class of flexible... 
Heavy tails | Skew-normal | Kullback–Leibler divergence | Skew-[formula omitted] | Skewness | Kullback-Leibler divergence | Skew-t | CORRELATION-MATRICES | SKEW-NORMAL DISTRIBUTIONS | PHYSICS, MULTIDISCIPLINARY | T-DISTRIBUTION | ENTROPY
Journal Article
Neurocomputing, ISSN 0925-2312, 06/2017, Volume 241, pp. 90 - 96
Amortized variational inference, whereby the inferred latent variable posterior distributions are parameterized by means of neural network functions, has... 
Deep generative model | Variational inference | Semi-supervised learning | Restricted multivariate skew-Normal distribution | SKEW-NORMAL-DISTRIBUTION | MIXTURE | RECOGNITION | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | Electrical engineering | Algorithms | Neural networks | Analysis
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2020, Volume 370, p. 112665
In statistical literature, the Gaussian process is used as a prior process to treat a non-linear regression from a Bayesian viewpoint with normally distributed... 
Gaussian process regression | Closed skew normal distribution | Bayesian statistics | Prior distribution | Predictive distribution | MATHEMATICS, APPLIED
Journal Article
Communications in Statistics - Theory and Methods, ISSN 0361-0926, 07/2017, Volume 46, Issue 14, pp. 7147 - 7156
In this paper, we propose a new bivariate distribution, namely bivariate alpha-skew-normal distribution. The proposed distribution is very flexible and capable... 
bimodality | bivariate distributions | skew-normal distribution | 62E99 | asymmetry | Alpha-skew-normal distribution | STATISTICS & PROBABILITY | EXTENSION | Economic models | Normal distribution
Journal Article